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Finding the Third Proportional to 505,231.17 and 757,846.76

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Solution

The third proportional to 505,231.17 and 757,846.76 is: 1,136,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,231.17 : 757,846.76 = 757,846.76 : x
  2. Step 2: Convert to fraction form
    505,231.17/757,846.76 = 757,846.76/x
  3. Step 3: Cross multiply
    505,231.17x = 757,846.76 × 757,846.76
  4. Step 4: Simplify right side
    505,231.17x = 574,331,708,326.92
  5. Step 5: Solve for x
    x = 574,331,708,326.92/505,231.17
  6. Step 6: Final answer
    x = 1,136,770.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.